{"id":"W2575947678","doi":"","title":"The Characteristic Polynomial of a kind of Hexagonal System and its Application.","year":2016,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Hexagonal crystal system; Polynomial; Pure mathematics; Mathematical analysis; Crystallography","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001669504,0.00007352165,0.0001955742,0.00002103585,0.00006642268,0.000006031306,0.0001137793,0.00004389827,0.000003584698],"category_scores_gemma":[0.0001781597,0.00004034437,0.00003578609,0.00006373363,0.00006023209,0.00004092298,0.00004316626,0.00003002395,0.000004428858],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002936937,"about_ca_system_score_gemma":0.00001880599,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007567257,"about_ca_topic_score_gemma":0.000002933785,"domain_scores_codex":[0.9992537,0.00004534452,0.0003480943,0.0001058905,0.0001460749,0.0001009072],"domain_scores_gemma":[0.9987164,0.0006620248,0.0002758574,0.000199059,0.0001060062,0.00004064527],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002324835,0.00004211154,0.0003970152,0.00009911758,0.00001979236,1.249827e-7,0.00003429534,6.649878e-8,0.01696518,0.9807331,0.00002412911,0.001661854],"study_design_scores_gemma":[0.002615021,0.0001998575,0.01413582,0.0004841277,0.00009567245,0.00001160059,0.0001832757,0.002779708,0.009184911,0.9693483,0.0006822337,0.0002794839],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.994805,0.00007035868,0.004198893,0.00007603483,0.0002958688,0.0002782865,0.00002941984,0.00001779787,0.0002282917],"genre_scores_gemma":[0.9997379,0.00000803293,0.0000755541,0.000001230829,0.00001022869,0.00003437627,0.00000122895,0.000009051659,0.0001223747],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01373881,"threshold_uncertainty_score":0.1645196,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01473237662704633,"score_gpt":0.2607160293641785,"score_spread":0.2459836527371322,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}